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Abstract:

We consider a finite number of particles that move in Z as independent random walks. The particles are of two species that we call a and b. The rightmost a-particle becomes a b-particle at constant rate, while the leftmost b-particle becomes a-particle at the same rate, independently. We prove that in the hydrodynamic limit the evolution is described by a nonlinear system of two PDE’s with free boundaries. © Brazilian Statistical Association, 2015.

Registro:

Documento: Artículo
Título:Separation versus diffusion in a two species system
Autor:De Masi, A.; Ferrari, P.A.
Filiación:Dipartimento DISIM, Università di L’Aquila, Via Vetoio 1, L’Aquila, 67100, Italy
IMAS-CONICET and Departamento de Matemática, Universidad de Buenos Aires, Pabellón 1, Ciudad Autónoma de Buenos Aires, 1428, Argentina
Palabras clave:Free boundaries PDE; Hydrodynamic limit; Interacting particle systems
Año:2015
Volumen:29
Número:2
Página de inicio:387
Página de fin:412
DOI: http://dx.doi.org/10.1214/14-BJPS276
Título revista:Brazilian Journal of Probability and Statistics
Título revista abreviado:Braz. J. Prob. Stat.
ISSN:01030752
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_01030752_v29_n2_p387_DeMasi

Referencias:

  • Atar, R., Biswas, A., Kaspi, H., Fluid limits of G/G/1 + G queues under the non-preemptive earliest-deadline-first discipline (2014) Math. Oper. Res, , To appear. arxiv:1305.2587
  • Carinci, G., De Masi, A., Giardinà, C., Presutti, E., Hydrodinamic limit in a particle system with topological interactions (2014) Arab. J. Math, 3, pp. 381-417. , MR3282863
  • Carinci, G., De Masi, A., Giardinà, C., Presutti, E., (2014) Global Solutions of a Free Boundary Problem via Mass Transport Inequalities, , Preprint, arXiv:1402.5529
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  • De Masi, A., Presutti, E., (1991) Mathematical Methods for Hydrodynamic Limits, , Lecture Notes in Mathematics 1501. Berlin: Springer. MR1175626
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Citas:

---------- APA ----------
De Masi, A. & Ferrari, P.A. (2015) . Separation versus diffusion in a two species system. Brazilian Journal of Probability and Statistics, 29(2), 387-412.
http://dx.doi.org/10.1214/14-BJPS276
---------- CHICAGO ----------
De Masi, A., Ferrari, P.A. "Separation versus diffusion in a two species system" . Brazilian Journal of Probability and Statistics 29, no. 2 (2015) : 387-412.
http://dx.doi.org/10.1214/14-BJPS276
---------- MLA ----------
De Masi, A., Ferrari, P.A. "Separation versus diffusion in a two species system" . Brazilian Journal of Probability and Statistics, vol. 29, no. 2, 2015, pp. 387-412.
http://dx.doi.org/10.1214/14-BJPS276
---------- VANCOUVER ----------
De Masi, A., Ferrari, P.A. Separation versus diffusion in a two species system. Braz. J. Prob. Stat. 2015;29(2):387-412.
http://dx.doi.org/10.1214/14-BJPS276